Information on Result #711128

Linear OA(568, 655, F5, 19) (dual of [655, 587, 20]-code), using construction XX applied to C1 = C([146,161]), C2 = C([143,157]), C3 = C1 + C2 = C([146,157]), and C∩ = C1 ∩ C2 = C([143,161]) based on
  1. linear OA(549, 624, F5, 16) (dual of [624, 575, 17]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {146,147,…,161}, and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(549, 624, F5, 15) (dual of [624, 575, 16]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,157}, and designed minimum distance d ≥ |I|+1 = 16 [i]
  3. linear OA(561, 624, F5, 19) (dual of [624, 563, 20]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {143,144,…,161}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  4. linear OA(537, 624, F5, 12) (dual of [624, 587, 13]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {146,147,…,157}, and designed minimum distance d ≥ |I|+1 = 13 [i]
  5. linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
  6. linear OA(53, 15, F5, 2) (dual of [15, 12, 3]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(568, 327, F5, 2, 19) (dual of [(327, 2), 586, 20]-NRT-code) [i]OOA Folding
2Linear OOA(568, 218, F5, 3, 19) (dual of [(218, 3), 586, 20]-NRT-code) [i]